One-dimensional translational motion of a two-spring chain with strong nonlinear drag: A possible model for time-dependent DNA gel electrophoresis

1989 ◽  
Vol 40 (5) ◽  
pp. 2634-2642 ◽  
Author(s):  
O. Lumpkin
1985 ◽  
Vol 40 (10) ◽  
pp. 959-967
Author(s):  
A. Salat

The equivalence of magnetic field line equations to a one-dimensional time-dependent Hamiltonian system is used to construct magnetic fields with arbitrary toroidal magnetic surfaces I = const. For this purpose Hamiltonians H which together with their invariants satisfy periodicity constraints have to be known. The choice of H fixes the rotational transform η(I). Arbitrary axisymmetric fields, and nonaxisymmetric fields with constant η(I) are considered in detail.Configurations with coinciding magnetic and current density surfaces are obtained. The approach used is not well suited, however, to satisfying the additional MHD equilibrium condition of constant pressure on magnetic surfaces.


2010 ◽  
Vol 34 (2) ◽  
pp. 225-232 ◽  
Author(s):  
Sachin K. Singh ◽  
Mula G. Meena Lakshmi ◽  
Sandeep Saxena ◽  
Cherukuvada V. Brahmendra Swamy ◽  
Mohammed M. Idris

1993 ◽  
Vol 50 (1) ◽  
pp. 51-70 ◽  
Author(s):  
D. Zoler ◽  
S. Cuperman ◽  
J. Ashkenazy ◽  
M. Caner ◽  
Z. Kaplan

A time-dependent quasi-one-dimensional model is developed for studying high- pressure discharges in ablative capillaries used, for example, as plasma sources in electrothermal launchers. The main features of the model are (i) consideration of ablation effects in each of the continuity, momentum and energy equations; (ii) use of a non-ideal equation of state; and (iii) consideration of space- and time-dependent ionization.


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